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2879727313 is a prime number
BaseRepresentation
bin1010101110100101…
…0010011011010001
321102200201022020011
42223221102123101
521344202233223
61153430314521
7131235164311
oct25351223321
97380638204
102879727313
111248592831
126844b8a41
1336b7c3478
141d4659441
1511cc3780d
hexaba526d1

2879727313 has 2 divisors, whose sum is σ = 2879727314. Its totient is φ = 2879727312.

The previous prime is 2879727239. The next prime is 2879727337. The reversal of 2879727313 is 3137279782.

It is a happy number.

2879727313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2383685329 + 496041984 = 48823^2 + 22272^2 .

It is a cyclic number.

It is not a de Polignac number, because 2879727313 - 217 = 2879596241 is a prime.

It is not a weakly prime, because it can be changed into another prime (2879727713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1439863656 + 1439863657.

It is an arithmetic number, because the mean of its divisors is an integer number (1439863657).

Almost surely, 22879727313 is an apocalyptic number.

It is an amenable number.

2879727313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2879727313 is an equidigital number, since it uses as much as digits as its factorization.

2879727313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 889056, while the sum is 49.

The square root of 2879727313 is about 53663.0907887349. The cubic root of 2879727313 is about 1422.7124167415.

The spelling of 2879727313 in words is "two billion, eight hundred seventy-nine million, seven hundred twenty-seven thousand, three hundred thirteen".